Clem is both a given name and a surname. Notable people with the name include:
Given name:
Clem Beauchamp (1892–1992), American film actor
Clem Bevans (1879–1963), character actor
Clem Bezold (21st century), American futurologist
Clem Burke (born 1955), American rock drummer
Clem Campbell (born 1948), Australian politician
Clem Cattini (born 1937), English drummer
Clem Christesen (1911–2003), Australian literary critic
Clem Clemens (1886–1967), catcher in Major League Baseball
Clem Clempson (born 1949), English rock guitarist
Clem Coetzee (circa 1939-2006), Zimbabwean conservationist
Clem Crowe (1904–1983), American basketball coach
Clem Curtis (born 1940), English singer
Clem Daniels (born 1937), American college and professional football player
Clem Dreisewerd (1916–2001), pitcher in Major League Baseball
Clem Haskins (born 1943), American basketball player
Clem Hausmann (1919–1972), pitcher in Major League Baseball
Clem Hill (1877–1945), Australian cricketer
Clem Jones (1918–2007), Australian politician
Clem Kennedy (21st century), Australian former rugby league player
Clem L. Shaver (20th century), American politician
Clem Labine (1926–2007), American right-handed relief pitcher in Major League Baseball
Clem Loughlin (1894–1977), Canadian hockey player
Clem McCarthy (1882–1962), American sportscaster and public address announcer
Clem McSpadden (born 1925), American politician
Clem Michael (born 1976), former Australian rules footballer
Clem Schouwenaars (1932–1993), Belgian writer
Clem S. Clarke (1897-1967), American oilman and politician
Clem Seecharan (21st century), Guyanese writer
Clem Simich (born 1939), New Zealand politician
Clem Sohn (20th century), American entertainer
Clem Stephenson (1890–1961), English footballer
Clem Stralka (1913–1994), American football offensive lineman
Clem Tholet (1948–2004), Rhodesian folk singer
Clem Thomas (20th century), Welsh rugby union footballer
Clem Tisdell (born 1939), Australian economist
Clem Wilson (1875–1944), English cricketer
Surname:
Brian Clem (born 1972), American politician
George I. Clem, American politician
John Clem (1851–1937), United States Army general
Mitch Clem (born 1982), American cartoonist